Internal modes of solitary waves

被引：184

作者：

Kivshar, YS ^{[1
]}

Pelinovsky, DE

Cretegny, T

Peyrard, M

机构：

[1] Australian Natl Univ, Ctr Opt Sci, Canberra, ACT 0200, Australia

[2] Univ Cape Town, Dept Math Appl, ZA-7701 Rondeboch, Western Cape, South Africa

[3] Ecole Normale Super Lyon, Phys Lab, F-69364 Lyon, France

来源：

PHYSICAL REVIEW LETTERS | 1998年 / 80卷 / 23期

关键词：

D O I：

10.1103/PhysRevLett.80.5032

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We develop an analytical approach for describing a birth of internal modes of solitary waves in nonintegrable nonlinear models. We show that a small perturbation of a proper sign to an integrable model can create a soliton internal mode bifurcating from the continuous wave spectrum. The theory is applied to the double sine-Gordon and discrete nonlinear Schrodinger equations, and an excellent agreement with numerical data is demonstrated.

引用

页码：5032 / 5035

页数：4

共 19 条

[11]

LANDAU LD, 1977, QUANTUM MECH NONRELA, pCH6

[12]

MEZENTSEV VK, 1994, JETP LETT+, V60, P829

[13] EIGENVALUES, AND INSTABILITIES OF SOLITARY WAVES [J].

PEGO, RL ;

WEINSTEIN, MI .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1992, 340 (1656) :47-94

[14] OSCILLATORY INSTABILITY OF SOLITARY WAVES IN A CONTINUUM MODEL OF LATTICE-VIBRATIONS [J].

PEGO, RL ;

SMEREKA, P ;

WEINSTEIN, MI .

NONLINEARITY, 1995, 8 (06) :921-941

[15]

PELINOVSKY DE, 1995, PHYS REV LETT, V75, P51

[16] KINK ANTIKINK INTERACTIONS IN A MODIFIED SINE-GORDON MODEL [J].

PEYRARD, M ;

CAMPBELL, DK .

PHYSICA D, 1983, 9 (1-2) :33-51

[17]

Remoissenet M., 1996, Waves Called Solitons: Concepts and Experiments, V2nd

[18] PERIODIC SOLITONS IN OPTICS [J].

SNYDER, AW ;

HEWLETT, SJ ;

MITCHELL, DJ .

PHYSICAL REVIEW E, 1995, 51 (06) :6297-6300

[19]

ZAKHAROV VE, 1971, ZH EKSP TEOR FIZ, V33, P77

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